Susan and Tom want to know the combined amount of money they earned last week. They both earned $9 per hour, but Susan also earn
ed a $45 bonus. Susan added her earnings to Tom's earnings to write the expression (9S + 45) + 9T, where S is the number of hours she worked, and Tis the number of hours Tom worked. Tom added their combined hourly wages to Susan's bonus to write the expression 9(S + T) + 45. Which of the following statements is true?
1 answer:
You might be interested in
Answer:
a) Mean = 1.6, standard deviation = 1.21
b) 18.87% probability that zero online retail orders will turn out to be fraudulent.
c) 32.82% probability that one online retail order will turn out to be fraudulent.
d) 48.31% probability that two or more online retail orders will turn out to be fraudulent.
Step-by-step explanation:
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
The mean of the binomial distribution is:
The standard deviation of the binomial distribution is:
In this problem, we have that:
a. What are the mean and standard deviation of the number of online retail orders that turn out to be fraudulent?
Mean
Standard deviation
b. What is the probability that zero online retail orders will turn out to be fraudulent?
This is P(X = 0).
18.87% probability that zero online retail orders will turn out to be fraudulent.
c. What is the probability that one online retail order will turn out to be fraudulent?
This is P(X = 1).
32.82% probability that one online retail order will turn out to be fraudulent.
d. What is the probability that two or more online retail orders will turn out to be fraudulent?
Either one or less is fraudulent, or two or more are. The sum of the probabilities of these events is decimal 1. So
We want
So
In which
From itens b and c
48.31% probability that two or more online retail orders will turn out to be fraudulent.